Maybe the problem was not raising with AA yourself. Perhaps if you open-raised, then so many wouldn't have continued. Then you can more safely play AA versus one or two opponents versus 6 players.
With so many All-ins, I could easily join as well with AA, but I could also see myself folding preflop here too! Yeah, I know some might give me a bunch of heat about this - but if my skill edge is higher than these players, then I can wait for a different spot to outplay them instead of flipping or getting it in as a slight favorite.
Open-raising makes it less inclined to get into this weird spot though.
Just for messing around, I put a specific holding for each player into Equilab. I didn't do AA versus 5 random players because it would take too long to evaluate. Here is one situation I picked:
AdAh - 42.73% (Our debated AA)
KsKc - 11.11% (Solid pocket pair usually worth shoving and just a cooler vs AA)
AcKh - 3.98% (AK is a premium hand preflop, but not so great to commit too many chips with and especially against AA or KK that dominates it as the case here)
2d2h - 16.65% (just picked a lower pocket pair)
9s8c - 16.13% (picked connected cards far enough from the Broadway cards that it has some chances to outdraw them and win)
Td4c - 9.40% (Just picked a trash hand to see how it would compare)
As we can see here, AA is less than 50%
equity versus all of these players even if it is the favorite to win the hand.